Atkin-Lehner |
5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113735b |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
3056628125 = 55 · 232 · 432 |
Discriminant |
Eigenvalues |
0 2 5+ -2 -5 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5351,-148868] |
[a1,a2,a3,a4,a6] |
Generators |
[670:17221:1] |
Generators of the group modulo torsion |
j |
32037163073536/5778125 |
j-invariant |
L |
5.2329309343845 |
L(r)(E,1)/r! |
Ω |
0.55819861414127 |
Real period |
R |
4.6873378128942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113735g1 |
Quadratic twists by: -23 |